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Finding the Third Proportional to 146,733 and 233,413

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Solution

The third proportional to 146,733 and 233,413 is: 371,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,733 : 233,413 = 233,413 : x
  2. Step 2: Convert to fraction form
    146,733/233,413 = 233,413/x
  3. Step 3: Cross multiply
    146,733x = 233,413 × 233,413
  4. Step 4: Simplify right side
    146,733x = 54,481,628,569
  5. Step 5: Solve for x
    x = 54,481,628,569/146,733
  6. Step 6: Final answer
    x = 371,297.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.